Square root of 5696

The square root of 5696 is 75.471849 (rounded to 6 decimal places). In simplest radical form it is 8√89.

Square root of 5696

Pick any whole number from 1 to 10,000.

\sqrt{5696} = 8\sqrt{89} \approx 75.471849

How to work it out

1
The square root of 5696 is the number that multiplied by itself gives 5696.
2
5696 is between the perfect squares 75² = 5625 and 76² = 5776, so its square root is between 75 and 76.
3
Pull out the biggest square factor: 5696 = 64 × 89, so
$\sqrt{5696} = \sqrt{64 \times 89} = 8\sqrt{89}$
4
A calculator, or long division of digits, gives
$\sqrt{5696} \approx 75.471849$

LaTeX source of the formulas on this page

\[ \sqrt{5696} = 8\sqrt{89} \approx 75.471849 \]
\[ \sqrt{5696} = \sqrt{64 \times 89} = 8\sqrt{89} \]
\[ \sqrt{5696} \approx 75.471849 \]

What is the square root of 5696?

The square root of 5696 is 75.471849 (rounded to 6 decimal places). In simplest radical form it is 8√89.

Is 5696 a perfect square?

No. It lies between 75² = 5625 and 76² = 5776.

What is 5696 squared?

5696 × 5696 = 32444416.

What is the square root of 5696 rounded to 2 decimals?

75.47.